Advanced Mathematical Tools for Automatic Control Engineers: Volume 2
The second volume of this work continues the approach of the first volume, providing mathematical tools for the control engineer and examining such topics as random variables and sequences, iterative logarithmic and large number laws, differential equations, stochastic measurements and optimization, discrete martingales and probability space. It includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to system and automatic control theories. It also has applications to game theory, machine learning and intelligent systems. This book provides a comprehensive theory of matrices, real, complex and functional analysis. It also provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications. It contains worked proofs of all theorems and propositions presented.